[fencepost]

It's worth being aware that milk and milk products can actually have a pretty significant amount of sugar in the form of lactose.

"If you're lactose intolerant and looking for yogurt, go Greek. Greek yogurt, which is thicker because much of the whey, the watery part of milk, has been strained out in processing. This also removes much of the lactose. Greek yogurt supplies less than 6.8 grams of lactose per 6-ounce serving, compared to less than 8.5 grams in whole-fat yogurt or 14 grams in non-fat yogurt. Hard cheeses such as cheddar have even less lactose, between 0 to 2 grams per ounce. Milk, in comparison, has approximately 11 grams in one cup." (from https://healthyeating.sfgate.com/can-lactose-intolerant-eat-...)